{
  "id": "1506.06541",
  "version": "v1",
  "published": "2015-06-22T10:34:22.000Z",
  "updated": "2015-06-22T10:34:22.000Z",
  "title": "Small eigenvalues of surfaces of finite type",
  "authors": [
    "Sugata Mondal",
    "Werner Ballmann",
    "Henrik Matthiesen"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Extending our previous work on eigenvalues of closed surfaces and work of Otal and Rosas, we show that a complete Riemannian surface S of finite type and negative Euler characteristic has at most negative of the Euler characteristics many small eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-22T10:34:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite type",
      "small eigenvalues",
      "complete riemannian surface",
      "negative euler characteristic",
      "closed surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}